Global well-posedness of strong solutions with large oscillations and vacuum to the compressible Navier-Stokes-Poisson equations subject to large and non-flat doping profile

被引：15

作者：

Liu, Shengquan ^{[1
]}

Xu, Xinying ^{[2
]}

Zhang, Jianwen ^{[2
]}

机构：

[1] Liaoning Univ, Sch Math, Shenyang 110036, Peoples R China

[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年 / 269卷 / 10期

基金：

美国国家科学基金会;

关键词：

Navier-Stokes-Poisson equations; Global strong solutions; Large non-flat doping profile; Large oscillations; Vacuum; WEAK SOLUTIONS; SMOOTH SOLUTIONS; EXISTENCE; BEHAVIOR; SYSTEM; FLOWS; DECAY;

D O I：

10.1016/j.jde.2020.06.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper concerns an initial value problem of compressible Navier-Stokes-Poisson equations subject to large and non-flat doping profile in whole space R-3 . The global well-posedness of strong solutions with large oscillations and vacuum is established, provided the initial data are of small energy and the steady state is strictly away from vacuum. A weak-strong uniqueness result is also obtained. (c) 2020 Elsevier Inc. All rights reserved.

引用

页码：8468 / 8508

页数：41

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